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Finding the Fourth Proportional to 141,178.60, 194,829.25 and 77,515.84

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Solution

The fourth proportional to 141,178.60, 194,829.25 and 77,515.84 is: 106,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,178.60 : 194,829.25 = 77,515.84 : x
  2. Step 2: Convert to fraction form
    141,178.60/194,829.25 = 77,515.84/x
  3. Step 3: Cross multiply
    141,178.60x = 194,829.25 × 77,515.84
  4. Step 4: Simplify right side
    141,178.60x = 15,102,351,802.38
  5. Step 5: Solve for x
    x = 15,102,351,802.38/141,178.60
  6. Step 6: Final answer
    x = 106,973.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.